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Finding the Fourth Proportional to 329,755.37, 455,072.31 and 186,512.54

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Solution

The fourth proportional to 329,755.37, 455,072.31 and 186,512.54 is: 257,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,755.37 : 455,072.31 = 186,512.54 : x
  2. Step 2: Convert to fraction form
    329,755.37/455,072.31 = 186,512.54/x
  3. Step 3: Cross multiply
    329,755.37x = 455,072.31 × 186,512.54
  4. Step 4: Simplify right side
    329,755.37x = 84,876,690,146.41
  5. Step 5: Solve for x
    x = 84,876,690,146.41/329,755.37
  6. Step 6: Final answer
    x = 257,392.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.